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Alex_Xolod [135]
3 years ago
6

A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

151200 ways

Step-by-step explanation:

Well assuming the numbers go from 0 to 9

we have

_ _ _ _ _ _ six spaces

in the first one can go one of the ten so the first one has 10 options

10*_ _ _ _ _

the second one has 9 options because we have used one alredy

and so on

10*9*8*7*6*5=151200

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According to the Substitution Property of Equality: If y = -5 and 7x + y = 11, then _______ . Question 9 options: 7(-5) + y = 11
ycow [4]

Answer:

7x - 5 = 11

Step-by-step explanation:

To solve for x, substitute y = -5 into the equation 7x + y = 11.

This becomes 7x + (-5) = 11 or 7x - 5 = 11.

7 0
3 years ago
What is ​0.000013 in scientific notation?​
Nata [24]
1.3\cdot10^5
5 0
3 years ago
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Application 11. Dasha took out a loan of $500 in oeder to buy the # 1 selling book in the world, "Math, What is it Good For?" by
finlep [7]

Answer:

\boxed{\text{\$581.25; \$81.25}}

Step-by-step explanation:

The formula for the total accrued amount is

A = P(1 + rt)

Data:

P = $500

r = 6.5 % = 0.065

t = 30 mo

Calculations:

(a) Convert months to years

t = 30 mo × (1 yr/12 mo) = 2.5 yr

(b) Calculate the accrued amount

A = 500(1 + 0.065 × 2.5)

  = 500(1 + 0.1625)

  = 500 × 1.1625

  = 581.25

\text{Dasha will have to pay back }\boxed{\textbf{\$581.25}}

(c) Calculate the accumulated interest

\begin{array}{rcl}A & = & P + I\\581.25 & = & 500 + I\\I & = & 81.25\\\end{array}\\\text{The accumulated interest is }\boxed{\textbf{\$81.25}}

6 0
2 years ago
(with solution)
Lunna [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

(1)

Here m = 6 and b = - 2, then

y = 6x - 2

(2)

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Here m = - 2 and b = 5, then

y = - 2x + 5 ← equation in slope- intercept form

Add 2x to both sides

2x + y = 5 ← equation in standard form

(3)

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)

m = \frac{-3+13}{-4-6} = \frac{10}{-10} = - 1 , then

y = - x + b ← is the partial equation

To find b substitute either of the 2 points into the partial equation

Using (- 4, - 3 ) , then

- 3 = 4 + b ⇒ b = - 3 - 4 = - 7

y = - x - 7 ← equation in slope- intercept form

Add x to both sides

x + y = - 7 ← equation in standard form

8 0
3 years ago
What is the volume of the cone?
yanalaym [24]

C. 4258.44 yd3 if u multiple  then bring it down thre subtract


8 0
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